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Jack and Jill each bought the same TV set using a 10% off co

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Jack and Jill each bought the same TV set using a 10% off co [#permalink] New post 26 Apr 2017, 02:26
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Question Stats:

61% (01:17) correct 38% (00:58) wrong based on 49 sessions


Jack and Jill each bought the same TV set using a 10% off coupon. Jack's cashier took 10% off the price and then added 8.5% sales tax. Jill's cashier first added the tax and then took 10% off the total price.

Quantity A
Quantity B
The amount Jack paid
The amount The amount Jill paid


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Jack and Jill each bought the same TV set using a 10% off co [#permalink] New post 18 May 2017, 13:13
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Carcass wrote:


Jack and Jill each bought the same TV set using a 10% off coupon. Jack's cashier took 10% off the price and then added 8.5% sales tax. Jill's cashier first added the tax and then took 10% off the total price.

Quantity A
Quantity B
The amount Jack paid
The amount The amount Jill paid



Let's say the TV costs x dollars BEFORE the discount.

Jack's cashier took 10% off the price and then added 8.5% sales tax
Jack's cashier took 10% off the price... so, the discounted price = (0.9)x
....and then added 8.5% sales tax. Adding 8.5% tax is the same as multiplying by 1.085
So., Jack's final cost = (0.9)(x)(1.085)

Jill's cashier first added the tax and then took 10% off the total price.
Jill's cashier first added the tax... adding 8.5% tax is the same as multiplying by 1.085
So, the new cost is (1.085)(x)
....and then took 10% off the total price.
So, Jill's final cost = (0.9)(1.085)(x)

We get:
Quantity A: (0.9)(x)(1.085)
Quantity B: (0.9)(1.085)(x)

Answer:
[Reveal] Spoiler:
C

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Re: Jack and Jill each bought the same TV set using a 10% off co   [#permalink] 18 May 2017, 13:13
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Jack and Jill each bought the same TV set using a 10% off co

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